The rate of change is equal to rise over run
= (-1 - 8)÷(3 - 0)
= -9 ÷ 3
= -3
When you say initial value I'm assuming you mean the y-intercept
In that case you first need to find the equation of the line by substituting the gradient and point into the gradient intercept formula
y - 8 = -3(x - 0)
y = -3x + 8
The y-intercept is when x = 0 so,
y = -3(0) + 8
Therefore y = 8
Yes, I think the answer is y = 7. The line x = 4 runs vertical (because all of the points in that line have an x-value of 4) so any line that is perpendicular to it has to be horizontal. Any line that is horizontal is in the form y = (some number). In order for the new line to run through the point (5,7) it would have to have the same y-value as that point, which is 7. So the new line is y = 7. Hope this helps :) (P.S. try graphing them both if you need a visual.)
Given:
The given values are:

To find:
The exponential regression equation for the given values (Rounded to three decimal places).
Solution:
The general form of exponential regression equation is:
...(i)
Where, a is the initial value and b is the growth/decay factor.
We have,

Round these numbers to three decimal places.

Substitute
in (i) to find the exponential regression equation.

Therefore, the correct option is C.
30 is the range, you take the maximum and subtract the minimum
4. 4. 1.
25 20 10
This is the answer